Characterization of left-handed metamaterial ring resonator coupled to transmon qubits

Left-handed metamaterial transmission line resonators made from an array of superconducting lumped elements possess unique dispersion relations. Unlike conventional right-handed transmission line resonators, they can exhibit a high density of modes in a frequency range of less than one GHz, which allows for the coupling of superconducting qubits to multiple modes. A left-handed transmission-line ring resonator can support dense mode spectra in a compact footprint, which holds promise for quantum memories and compact quantum processing nodes of a distributed quantum network. We have fabricated left-handed metamaterial ring resonators that are directly coupled to multiple transmon qubits at different locations around the ring. In this talk, we will present the experimental measurements on such a left-handed metamaterial ring resonator, including the characterization of the mode spectra and the coupling to multiple transmon qubits.